Finite element analysis and experimental verification of fractal wear on floating ring seal end faces

doi:10.11949/0438-1157.20231150

Abstract

Abstract:

To address the increased seal leakage caused by wear on the sealing end face due to the high-frequency fluctuations during the operation of floating ring seals, a fractal wear prediction model for the end face of the floating ring seal based on fractal theory was established. ABAQUS's UMESHMOTION subroutine and ALE adaptive grid technology were employed to simulate the wear process of the sealing end face. The wear depth in the contact area was calculated by using the modified Archard wear theory, and the intrinsic laws of wear on the floating ring end face were studied. The accuracy of the finite element model was validated experimentally. The research further analyzed the impact of surface morphology and operating conditions on wear depth, in order to guidance for the design and wear protection of the floating ring end face seals. The results show that the wear depth of the floating ring end face decreases with the increase of fractal dimension D but increases with the increase of characteristic scale G. When D≤1.65, the change of G has a particularly significant impact on wear depth. As the load on the floating ring end face increases, its wear depth shows an approximately linear upward trend related to the increase in fractal dimension D and characteristic scale G, especially when G value is larger. Different wear cycle times will result in different wear depth distributions, and as the cycle times increase, the wear depth of graphite floating rings gradually rises, especially reaching a peak at the edge of the contact area, and obvious dents appear at both ends of the wear area.

Key words: floating ring seal, fractals, numerical simulation, attrition

摘要：

针对浮环密封运行过程中高频浮动导致的密封端面磨损进而造成密封泄漏量增大的问题，建立基于分形理论的浮环密封端面分形磨损预估模型，采用ABAQUS中的UMESHMOTION子程序和ALE自适应网格技术对浮环密封端面磨损过程进行仿真模拟，通过修正的Archard磨损理论计算接触区域的磨损深度，开展浮环端面磨损的内在规律研究，并通过试验验证了有限元模型的准确性。进一步分析了浮环端面表面形貌及工况参数对磨损深度的影响，以期为浮环端面密封的设计及磨损防护提供指导。研究结果表明：浮环端面磨损深度随着分形维数D的增加而减小，但随着特征尺度G的增加而增大，当D $≤$ 1.65时，G的变化对磨损深度影响尤为显著；随着浮环端面载荷增加，其磨损深度呈现与分形维数D和特征尺度G增加有关的近似线性上升趋势；磨损循环次数的不同将形成各异的磨损深度分布，而随着循环次数的增加，石墨浮环的磨损深度逐渐上升，尤其在接触区边缘达到峰值，并在磨损区域两端出现明显的凹陷。

关键词: 浮环密封, 分形, 数值模拟, 磨损

CLC Number:

TH 117.1

Xuhui WANG, Xuexing DING, Ning LI, Zhimin ZHANG, Jiaxin SI. Finite element analysis and experimental verification of fractal wear on floating ring seal end faces[J]. CIESC Journal, 2023, 74(12): 4956-4967.

王旭辉, 丁雪兴, 力宁, 张志敏, 司佳鑫. 浮环密封端面分形磨损有限元模拟及试验验证[J]. 化工学报, 2023, 74(12): 4956-4967.

Figures/Tables 17

Fig.1 Schematic diagram of floating ring seal

Table 1 Sample parameters

样件参数	数值
M234AO密度ρ₁/(g/cm³)	1.8
GH4169密度ρ₂/(g/cm³)	8.24
M234AO硬度(HR10/1470)	80~125
GH4169硬度(HR10/1470)	363
M234AO弹性模量E₁/GPa	20.5
GH4169弹性模量E₂/GPa	199.9
M234AO泊松比ν₁	0.2
GH4169泊松比ν₂	0.3

Fig.2 M234AO graphite surface profile before wear

Table 2 M234AO graphite experiment record and fractal parameter calculation before wear

试验

组号

特征尺度

G/m

Fig.3 SRV-Ⅳ microkinetic friction and wear testing machine

Fig.4 Surface morphology of three groups of M234AO pins before and after wear

Fig.5 Contact face simplification model

Fig.6 Finite element model of fractal wear on end face of floating ring seal

Fig.7 Loading history of finite element model of end face of floating ring seal

Fig.8 Flow chart of simulation program for end face wear of floating ring seal

Fig.9 The nephogram of finite element model with different fractal parameters

Fig.10 Contact pressure and wear depth comparison

Fig.11 Wear depth under different fractal parameters

Fig.12 Wear depth under different end loads and different fractal dimensions

Fig.13 Wear depth under different end loads and different characteristic scales

Fig.14 The nephogram of wear depth under different cycles

Fig.15 Change of wear depth under different cycles

References 31

1	刘占生, 夏鹏, 张广辉, 等. 浮环密封运动机理及对轴系稳定性的影响[J]. 振动与冲击, 2016, 35(9): 110-116.
	Liu Z S, Xia P, Zhang G H, et al. Floating ring seals movement mechanism and its influence on stability of a rotor system[J]. Journal of Vibration and Shock, 2016, 35(9): 110-116.
2	Xia P, Chen H, Liu Z S, et al. Analysis of whirling motion for the dynamic system of floating ring seal and rotor[J]. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2019, 233(8): 1221-1235.
3	Xia P, Zhang G H, Zhao J M, et al. Investigations on rotordynamic characteristics of a floating ring seal considering structural elasticity[C]//Proceedings of ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition, Charlotte, North Carolina, USA: ASME, 2017.
4	马润梅, 赵祥, 李双喜, 等. 高速气体环瓣式浮环密封泄漏特性的试验研究[J]. 风机技术, 2020, 62(6): 75-81.
	Ma R M, Zhao X, Li S X, et al. Experimental study on leakage characteristics of high speed gas split floating ring seal[J]. Chinese Journal of Turbomachinery, 2020, 62(6): 75-81.
5	Tokunaga Y, Inoue H, Hiromatsu J, et al. Rotordynamic characteristics of floating ring seals in rocket turbopumps[J]. International Journal of Fluid Machinery and Systems, 2016, 9(3): 194-204.
6	力宁, 江平, 翁泽文, 等. 航空发动机浮环密封上浮性能试验研究[J]. 润滑与密封, 2020, 45(11): 143-148.
	Li N, Jiang P, Weng Z W, et al. Experimental study on floating performance of floating ring seals used in aero engine[J]. Lubrication Engineering, 2020, 45(11): 143-148.
7	马润梅, 赵祥, 李双喜, 等. 动压式环瓣浮环密封特性及摩擦磨损研究[J]. 推进技术, 2022, 43(8): 318-327.
	Ma R M, Zhao X, Li S X, et al. Seal characteristics and friction and wear of dynamic pressure split floating ring[J]. Journal of Propulsion Technology, 2022, 43(8): 318-327.
8	Yue T Y, Abdel Wahab M. Finite element analysis of fretting wear under variable coefficient of friction and different contact regimes[J]. Tribology International, 2017, 107: 274-282.
9	Bose K K, Ramkumar P. Finite element method based sliding wear prediction of steel-on-steel contacts using extrapolation techniques[J]. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2019, 233(10): 1446-1463.
10	李玲, 康乐, 阮晓光, 等. 不同加载条件下柱面/平面微动磨损有限元分析[J]. 机械科学与技术, 2018, 37(12): 1854-1861.
	Li L, Kang L, Ruan X G, et al. Finite element analysis of cylinder-flat fretting wear under different loading conditions[J]. Mechanical Science and Technology for Aerospace Engineering, 2018, 37(12): 1854-1861.
11	刘乐强, 李欣, 杨建伟, 等. 圆柱-平面微动磨损接触状态有限元分析[J]. 机电工程, 2023, 40(6): 896-902.
	Liu L Q, Li X, Yang J W, et al. Finite element analysis of fretting contact state of cylindrical-plane fretting wear[J]. Journal of Mechanical & Electrical Engineering, 2023, 40(6): 896-902.
12	于司泰, 兰惠清, 蔡建斌, 等. 航空渐开线花键微动磨损的仿真模拟研究[J]. 表面技术, 2022, 51(4): 149-156.
	Yu S T, Lan H Q, Cai J B, et al. Simulation study on fretting wear of aviation involute spline[J]. Surface Technology, 2022, 51(4): 149-156.
13	陈壮, 董庆兵, 罗振涛, 等. 花键微动磨损和损伤累积的耦合机制及寿命预测[J]. 机械工程学报, 2023, 59(3): 133-143.
	Chen Z, Dong Q B, Luo Z T, et al. Coupling mechanism of fretting wear and damage accumulation of spline couplings and service life prediction[J]. Journal of Mechanical Engineering, 2023, 59(3): 133-143.
14	彭文, 孙佳楠, 李旭东, 等. 板带热轧过程工作辊磨损预测研究[J]. 塑性工程学报, 2023, 30(5): 214-225.
	Peng W, Sun J N, Li X D, et al. Study on prediction of work roll wear during hot strip rolling[J]. Journal of Plasticity Engineering, 2023, 30(5): 214-225.
15	Majumdar A, Bhushan B. Fractal model of elastic-plastic contact between rough surfaces[J]. Journal of Tribology, 1991, 113(1): 1-11.
16	Jiang S Y, Zheng Y J, Zhu H A. A contact stiffness model of machined plane joint based on fractal theory[J]. Journal of Tribology, 2010, 132(1): 011401.
17	Pereira K, Yue T, Abdel Wahab M. Multiscale analysis of the effect of roughness on fretting wear[J]. Tribology International, 2017, 110: 222-231.
18	孙见君, 顾伯勤, 魏龙. 基于分形理论的接触式机械密封泄漏模型[J]. 化工学报, 2006, 57(7): 1626-1631.
	Sun J J, Gu B Q, Wei L. Leakage model of contacting mechanical seal based on fractal geometry theory[J]. Journal of Chemical Industry and Engineering (China), 2006, 57(7): 1626-1631.
19	孙见君, 顾伯勤, 魏龙, 等. 接触式机械密封寿命预测方法[J]. 化工学报, 2008, 59(12): 3095-3100.
	Sun J J, Gu B Q, Wei L, et al. Predicting seal life for contact mechanical seals[J]. Journal of Chemical Industry and Engineering (China), 2008, 59(12): 3095-3100.
20	魏龙, 顾伯勤, 冯飞, 等. 粗糙表面接触模型的研究进展[J]. 润滑与密封, 2009, 34(7): 112-117.
	Wei L, Gu B Q, Feng F, et al. Progress of study on contact models of rough surfaces[J]. Lubrication Engineering, 2009, 34(7): 112-117.
21	王颜辉, 张学良, 温淑花, 等. 机械结合面法向接触刚度分形理论模型[J]. 机械强度, 2020, 42(3): 648-653.
	Wang Y H, Zhang X L, Wen S H, et al. Fractal theoretical model of normal contact stiffness of mechanical joint interfaces[J]. Journal of Mechanical Strength, 2020, 42(3): 648-653.
22	王颜辉, 张学良, 温淑花, 等. 考虑摩擦因素的结合面加/卸载分形理论模型[J]. 太原理工大学学报, 2021, 52(4): 654-661.
	Wang Y H, Zhang X L, Wen S H, et al. Fractal theory model of the joint interface during loading and unloading considering friction factors[J]. Journal of Taiyuan University of Technology, 2021, 52(4): 654-661.
23	王颜辉, 张学良, 温淑花, 等. 考虑硬度变化的结合面法向接触刚度分形模型[J]. 润滑与密封, 2021, 46(8): 41-48.
	Wang Y H, Zhang X L, Wen S H, et al. Fractal model of normal contact stiffness of the joint interfaces with considering hardness changes[J]. Lubrication Engineering, 2021, 46(8): 41-48.
24	Wang H, Cui J W, Ma Y R, et al. Fractal characterization of nano anisotropic rough surface[C]//Proceedings of SPIE 12059, Tenth International Symposium on Precision Mechanical Measurements. Bellingham: SPIE, 2021: 308-318.
25	Majumdar A, Tien C L. Fractal characterization and simulation of rough surfaces[J]. Wear, 1990, 136(2): 313-327.
26	杨小成, 丁雪兴, 陈金林. 考虑弹塑性变形阶段的干气密封接触模型[J]. 摩擦学学报, 2022, 42(6): 1237-1245.
	Yang X C, Ding X X, Chen J L. Contact model of dry gas seal considering elastic-plastic deformation stage[J]. Tribology, 2022, 42(6): 1237-1245.
27	Arunachalam A P S, Idapalapati S. Material removal analysis for compliant polishing tool using adaptive meshing technique and Archard wear model[J]. Wear, 2019, 418/419: 140-150.
28	Liu Y F, Liskiewicz T W, Beake B D. Dynamic changes of mechanical properties induced by friction in the Archard wear model[J]. Wear, 2019, 428/429: 366-375.
29	Archard J F. Contact and rubbing of flat surfaces[J]. Journal of Applied Physics, 1953, 24(8): 981-988.
30	Mohaghegh K, Pérez M A, García-Aznar J M. Accelerating numerical simulations of strain-adaptive bone remodeling predictions[J]. Computer Methods in Applied Mechanics and Engineering, 2014, 273: 255-272.
31	张志敏, 丁雪兴, 张兰霞, 等. 浮环密封端面分形磨损预估模型及数值分析[J]. 化工学报, 2022, 73(12): 5526-5536.
	Zhang Z M, Ding X X, Zhang L X, et al. Fractal wear prediction model and numerical analysis of floating ring seal face[J]. CIESC Journal, 2022, 73(12): 5526-5536.

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